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A one-parameter family of analytic Markov maps with an intermittency transition

Manuela Giampieri·Stefano Isola
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Abstract

In this paper we introduce and study a one-parameter family of piecewise analytic interval maps having the tent map and the Farey map as extrema. Among other things, we construct a Hilbert space of analytic functions left invariant by the Perron-Frobenius operator of all these maps and study the transition between discrete and continuous spectrum when approaching the intermittent situation.

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Manuela Giampieri, Stefano Isola. 2003-08-04. A one-parameter family of analytic Markov maps with an intermittency transition. https://arxiv.org/abs/math/0308020

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